How do I add a single item to a Pandas Series instance?

I'm looking for code along the lines of

>>> x = Series()
>>> N = 4
>>> for i in xrange(N):
>>>     x.some_appending_function(i**2)    
>>> print(x)
0 | 0
1 | 1
2 | 4
3 | 9

Similarly, how can i add a single row to a Pandas DataFrame?

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